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286023468000 = 2535337644197
BaseRepresentation
bin1000010100110000101…
…00111100001111100000
31000100021110121122012210
410022120110330033200
514141234001434000
6335221455322120
726443633235544
oct4123024741740
91010243548183
10286023468000
11100335877a06
1247524820340
1320c8334882a
14dbb4c17a24
157690664350
hex429853c3e0

286023468000 has 192 divisors, whose sum is σ = 962339047488. Its totient is φ = 74211379200.

The previous prime is 286023467993. The next prime is 286023468001. The reversal of 286023468000 is 864320682.

It is a self number, because there is not a number n which added to its sum of digits gives 286023468000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286023468001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121902 + ... + 766098.

It is an arithmetic number, because the mean of its divisors is an integer number (5012182539).

Almost surely, 2286023468000 is an apocalyptic number.

286023468000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286023468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481169523744).

286023468000 is an abundant number, since it is smaller than the sum of its proper divisors (676315579488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286023468000 is a wasteful number, since it uses less digits than its factorization.

286023468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644262 (or 644244 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 286023468000 its reverse (864320682), we get a palindrome (286887788682).

The spelling of 286023468000 in words is "two hundred eighty-six billion, twenty-three million, four hundred sixty-eight thousand".